41306821 has 12 divisors (see below), whose sum is σ = 44533476. Its totient is φ = 38181120.

The previous prime is 41306813. The next prime is 41306851. The reversal of 41306821 is 12860314.

41306821 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13068225 + 28238596 = 3615^2 + 5314^2 .

It is not a de Polignac number, because 41306821 - 2³ = 41306813 is a prime.

It is a super-2 number, since 2×41306821² = 3412506922252082, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41306851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62931 + ... + 63583.

It is an arithmetic number, because the mean of its divisors is an integer number (3711123).

Almost surely, 2^41306821 is an apocalyptic number.

It is an amenable number.

41306821 is a deficient number, since it is larger than the sum of its proper divisors (3226655).

41306821 is an equidigital number, since it uses as much as digits as its factorization.

41306821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 41306821 is about 6427.0382759091. The cubic root of 41306821 is about 345.6797380678.

The spelling of 41306821 in words is "forty-one million, three hundred six thousand, eight hundred twenty-one".